EXAMPLE 7.13 WASTE‐TO‐ENERGY
The City of Newcastle‐Upon‐Tyne, UK, incinerates some of its municipal RDF for electricity production. The city operates two 13 MW RDF boilers, which have 88% overall efficiency. The RDF has an average heat content 1650 Btu/lb. Calculate the following:
- The daily mass of RDF (T/day) required to burn to generate the same power.
- If coal were used in place of RDF, how much coal (in T/Y) that would be needed to burn to produce the same energy. The coal has an average heat content of 33 516 kJ/kg.
SOLUTION
This is essentially a mass and energy balance problem, in which solid wastes with significant heat content are being collected and burned to generate heat and electricity.
- The daily mass of RDF in T/dayFirst, find input power needed.Then, mass of RDF required to produce same power
- Mass of coal required to produce same power
EXAMPLE 7.14 WASTE‐TO‐ENERGY
Assume the proximate and ultimate analysis of a solid waste.
Proximate analysis | (wt%) | Ultimate analysis | (wt%) |
Moisture | 20 | Moisture | 20 |
Volatile matter | 60 | Carbon | 30 |
Ash | 20 | Hydrogen | 4 |
Total | 100 | Oxygen | 25.5 |
Nitrogen | 0.37 | ||
Sulfur | 0.13 | ||
Ash and metal (inerts) | 20 | ||
Total | 100 |
Also assume the following conditions are applicable:
- The as‐fired heating values of the solid waste are represented by the equations:(7.6)(7.7)where HHV is the high‐heating value and LHV is the low‐heating value; C, H, O, S, and W are the weight percentages of carbon, hydrogen, oxygen, sulfur, and W is the weight of the moisture, respectively. And the answer is in terms of Btu/lb.
- The grate residue contains 10% unburned carbon.
- The entering air is at 77 °F; the residue is at 700 °F.
- The radiation loss is 0.006 Btu/Btu.
- The specific heat of residue is 0.3 Btu/lb °F.
- The latent heat of water is 1040 Btu/lb.
- All the oxygen in the waste is bound as water.
- The theoretical air requirements based on stoichiometry are as follows:ElementReaction with oxygenAir requirement (lb/lb)CC + O → CO11.52H2H2 + O2 → 2H2O34.56SS + O2 → SO24.31
- The moisture in combustion air is negligible.
- The net hydrogen available for combustion is equal to the fraction ().In other words, this is the percentage of hydrogen minus ⅛th the percentage oxygen. This accounts for “bound water” in the dry combustible material.
- The heating value for carbon is 14 000 Btu/lb.Find:
- Estimate the HHV and LHV of this waste using the Eqs. (7.6) and (7.7).
- Calculate the air requirement for complete combustion of 100 T of this waste.
- Determine the heat available in the exhaust gases from combustion of 100 T/day waste by a heat balance, both in million Btu and kWh units.
SOLUTION
- From Eq. (7.6),and from Eq. (7.7),
- First, compute the weights of the elements of the waste:ElementsComputation (lb)lb/dayCarbon0.30 × 200 00060 000Hydrogen0.04 × 200 0008 000Oxygen0.255 × 200 00051 000Nitrogen0.0037 × 200 000740Sulfur0.0013 × 200 000260Ash and metals (inert)0.20 × 200 00040 000Moisture0.20 × 200 00040 000Second, compute the residue:Because the grate residue contains 10% unburnt carbon (an assumption made or this problem),Third, compute the available hydrogen and bound water:Therefore,Fourth, calculate the air required:ElementAir requirement (lb/day)Carbon = (60 000 – 4 444) × 11.52640 005Hydrogen = 1.625 × 34.5656.160Sulfur = 260 × 4.311 120Total dry theoretical air (C + H + S)697 285Total dry air (100‐percent excess)1 394 570
- First, determine the amount of water produced by combustion of the available hydrogen.The remaining computations of heat balance for the process are as follows:ItemHeat value (106 Btu/day)Gross heat input
1065.6Heat lost in unburned carbon:
62.21Radiation lost:
6.39Inherent moisture:
41.60Moisture in bound water:
59.65Moisture from the combustion of available hydrogen:
15.21Sensible heat in residue:
8.30Total losses193.38Net heat available in flue gases:
877.22Therefore, net energy available in kWh = 877.22 × 106 Btu= 877.22 × 106 Btu × 2.93 × 10−4 kWh/Btu = 257 000 kWhCombustion efficiency:
81.86%
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